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Finding the Fourth Proportional to 2,148.84, 3,208.89 and 1,837.44

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Solution

The fourth proportional to 2,148.84, 3,208.89 and 1,837.44 is: 2,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.84 : 3,208.89 = 1,837.44 : x
  2. Step 2: Convert to fraction form
    2,148.84/3,208.89 = 1,837.44/x
  3. Step 3: Cross multiply
    2,148.84x = 3,208.89 × 1,837.44
  4. Step 4: Simplify right side
    2,148.84x = 5,896,142.84
  5. Step 5: Solve for x
    x = 5,896,142.84/2,148.84
  6. Step 6: Final answer
    x = 2,743.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.